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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 155106: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
thank you for all your help: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
thank you for all your help
Click here to see answer by ptaylor(1184)  |
Question 155072: pipe a takes 8 hours to empty out a pool. when added with pipe b it takes only 3 hourse. how long would pipe b take to empty out the pool?: pipe a takes 8 hours to empty out a pool. when added with pipe b it takes only 3 hourse. how long would pipe b take to empty out the pool?
Click here to see answer by ptaylor(1184) |
Question 154708: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?
Click here to see answer by checkley77(1718) |
Question 154708: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?
Click here to see answer by ptaylor(1184) |
Question 154708: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?
Click here to see answer by stanbon(18015) |
Question 154302: A large pump can fill a 54,000 gallon reservoir in 8 hours. Working together, the largepump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?
: A large pump can fill a 54,000 gallon reservoir in 8 hours. Working together, the largepump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?
Click here to see answer by jojo14344(370) |
Question 154117: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together?: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together?
Click here to see answer by ptaylor(1184) |
Question 153648: Ann can paint a house in 15 hours alone, and ann and susann can paint it in 6 hours how long will it take susann to paint it alone???: Ann can paint a house in 15 hours alone, and ann and susann can paint it in 6 hours how long will it take susann to paint it alone???
Click here to see answer by orca(257) |
Question 152670: The relative density of an object may be defined as its weight in air Wa, divided by the difference of its weight in air and its weight when submerged in water, Ww. For a lead weight, Wa = 1.097 Ww. Find the relative density of lead.: The relative density of an object may be defined as its weight in air Wa, divided by the difference of its weight in air and its weight when submerged in water, Ww. For a lead weight, Wa = 1.097 Ww. Find the relative density of lead.
Click here to see answer by jojo14344(370) |
Question 153099This question is from textbook
: Hello, Im would appricate an help that you can offer me. Im working on rate, unit and proportions. I have read through my chapter and still a little puzzled.
1. a diver descends 10 ft in 16 sec. What is the rate of descent in feet per second?
2. An 18-oz jar of blackberry jam is on sale for $4.50. find the unit price in dollars per ounce.
3. Determine whether the pairs 10,8 and 38, 26 are proportional.
I think i can figure out the problems but im not sure how i would show the work. Please help. thank you CherylThis question is from textbook
: Hello, Im would appricate an help that you can offer me. Im working on rate, unit and proportions. I have read through my chapter and still a little puzzled.
1. a diver descends 10 ft in 16 sec. What is the rate of descent in feet per second?
2. An 18-oz jar of blackberry jam is on sale for $4.50. find the unit price in dollars per ounce.
3. Determine whether the pairs 10,8 and 38, 26 are proportional.
I think i can figure out the problems but im not sure how i would show the work. Please help. thank you Cheryl
Click here to see answer by nerdybill(459) |
Question 152882: A man can construct a wall in 20 hrs. With the help of his apprentice assistant the task would take 12 hrs. How long would it take the apprentice, working alone, to construct the wall?
: A man can construct a wall in 20 hrs. With the help of his apprentice assistant the task would take 12 hrs. How long would it take the apprentice, working alone, to construct the wall?
Click here to see answer by jim_thompson5910(8292) |
Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by mducky2(55) |
Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by orca(257) |
Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by edjones(2169) |
Question 152129: If Sally can paint a house in 4 hours and John can pain the same house in 6 hour, how long will it take for both of them to paint the house together?: If Sally can paint a house in 4 hours and John can pain the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by ankor@dixie-net.com(3943) |
Question 151874: Mr.carlson drove a distance of 1000 miles to another city. He returned by plane. The eate of the plane was 10 times the rate at which he drove. He spent 22 hours on the trip. Find the rate at which he drove and the rate of the plane: Mr.carlson drove a distance of 1000 miles to another city. He returned by plane. The eate of the plane was 10 times the rate at which he drove. He spent 22 hours on the trip. Find the rate at which he drove and the rate of the plane
Click here to see answer by nerdybill(459) |
Question 151817: A drain can empty a swimming pool in 8 days. A second drain can empty the same pool in 4 days. In how much time will the two drains working together empty the pool?: A drain can empty a swimming pool in 8 days. A second drain can empty the same pool in 4 days. In how much time will the two drains working together empty the pool?
Click here to see answer by jojo14344(370) |
Question 151512: A 120-gallon tub has a drain which, when open, drains water at the rate of 6 gallons per minute. If the tub is empty and the drain is open, at what rate, in gallons of water per minute, must water be added to the tub so that it fills in exactly 1 hour?: A 120-gallon tub has a drain which, when open, drains water at the rate of 6 gallons per minute. If the tub is empty and the drain is open, at what rate, in gallons of water per minute, must water be added to the tub so that it fills in exactly 1 hour?
Click here to see answer by Earlsdon(3499) |
Question 151153: A machine produces 389 bolts in 34 minutes. At the same rate, how many minutes would it take to produce 238 bolts?
: A machine produces 389 bolts in 34 minutes. At the same rate, how many minutes would it take to produce 238 bolts?
Click here to see answer by ptaylor(1184) |
Question 150999: Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe each work for 4 hours and Bill works for 2 hours; or if Mike and Joe each work for 2 hours and Bill works for 5 hours; or if Mike works for 6 hours, Joe works for 2 hours, and Bill works for 1 hour. How much time does it take for each man working alone to complete the painting?: Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe each work for 4 hours and Bill works for 2 hours; or if Mike and Joe each work for 2 hours and Bill works for 5 hours; or if Mike works for 6 hours, Joe works for 2 hours, and Bill works for 1 hour. How much time does it take for each man working alone to complete the painting?
Click here to see answer by ptaylor(1184) |
Question 150821: One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone?: One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone?
Click here to see answer by mangopeeler07(428) |
Question 150822: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?
Click here to see answer by ankor@dixie-net.com(3943) |
Question 150822: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?
Click here to see answer by mangopeeler07(428) |
Question 150823: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will they complete the job?: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will they complete the job?
Click here to see answer by mangopeeler07(428) |
Question 150565This question is from textbook 
: roma can finish weeding a flower garden in 4 1/2 hours. roma has worked for 2 hours before amor joined her and they finished the job in 2 hours. how long would it take both of them to finish the job working together? how long would it take amor to do the job alone?This question is from textbook
: roma can finish weeding a flower garden in 4 1/2 hours. roma has worked for 2 hours before amor joined her and they finished the job in 2 hours. how long would it take both of them to finish the job working together? how long would it take amor to do the job alone?
Click here to see answer by josmiceli(1851) |
Question 150560: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they decorating cakes? Round to the nearest tenth of a cake per hour.
: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they decorating cakes? Round to the nearest tenth of a cake per hour.
Click here to see answer by ankor@dixie-net.com(3943) |
Question 150509This question is from textbook
: working together, alice and betty can do a certain job in 4 1/3 days. but alice fell ill after 2 days of working and betty finished the job continuing to work alone in 6 3/4 more days. how long would it take each to do the job if each of them worked alone?This question is from textbook
: working together, alice and betty can do a certain job in 4 1/3 days. but alice fell ill after 2 days of working and betty finished the job continuing to work alone in 6 3/4 more days. how long would it take each to do the job if each of them worked alone?
Click here to see answer by ankor@dixie-net.com(3943) |
Question 150510This question is from textbook
: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.This question is from textbook
: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.
Click here to see answer by nerdybill(459) |
Question 150510This question is from textbook
: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.This question is from textbook
: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.
Click here to see answer by christopherbenner(2) |
Question 150250: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
Click here to see answer by checkley77(1718) |
Question 150241: Pipe A fills a 50-liter tank at a rate of 15 liters per hour. Pipe B fills the same tank at a rate of 10 liters per hour. Pipe A runs alone for 100 minutes then the two of them together finish filling up the tank. How long does the whole operation take?
The answer is 160 minutes, but I have no idea how to arrive at this answer. Thank you!: Pipe A fills a 50-liter tank at a rate of 15 liters per hour. Pipe B fills the same tank at a rate of 10 liters per hour. Pipe A runs alone for 100 minutes then the two of them together finish filling up the tank. How long does the whole operation take?
The answer is 160 minutes, but I have no idea how to arrive at this answer. Thank you!
Click here to see answer by jojo14344(370) |
Question 150111: Gail can type a chapter book in 4 hours jack can type a chapter book in 10 hours. How long would it take them to type a chapter book together?: Gail can type a chapter book in 4 hours jack can type a chapter book in 10 hours. How long would it take them to type a chapter book together?
Click here to see answer by stanbon(18015) |
Question 149944: Working together, a painter and the painter's apprentice can paint a room in 4h. Working alone, the apprentice requires 7 more hours to paint the room that the painter requires working alone. How long does it take the painter, working alone, to paint the room? Please round your answer to one decimal place.
4/T + 4/T+7 = 1
T(T+7)(4/T + 4/T+7) = T(T+7)1
(T+7)4+4T = T(T+7)
4T +28 +4T = T^2 +T7
8T+28=T^2+T7
Am I doing this right? I keep coming up with the wrong answer, I think.: Working together, a painter and the painter's apprentice can paint a room in 4h. Working alone, the apprentice requires 7 more hours to paint the room that the painter requires working alone. How long does it take the painter, working alone, to paint the room? Please round your answer to one decimal place.
4/T + 4/T+7 = 1
T(T+7)(4/T + 4/T+7) = T(T+7)1
(T+7)4+4T = T(T+7)
4T +28 +4T = T^2 +T7
8T+28=T^2+T7
Am I doing this right? I keep coming up with the wrong answer, I think.
Click here to see answer by stanbon(18015) |
Question 149944: Working together, a painter and the painter's apprentice can paint a room in 4h. Working alone, the apprentice requires 7 more hours to paint the room that the painter requires working alone. How long does it take the painter, working alone, to paint the room? Please round your answer to one decimal place.
4/T + 4/T+7 = 1
T(T+7)(4/T + 4/T+7) = T(T+7)1
(T+7)4+4T = T(T+7)
4T +28 +4T = T^2 +T7
8T+28=T^2+T7
Am I doing this right? I keep coming up with the wrong answer, I think.: Working together, a painter and the painter's apprentice can paint a room in 4h. Working alone, the apprentice requires 7 more hours to paint the room that the painter requires working alone. How long does it take the painter, working alone, to paint the room? Please round your answer to one decimal place.
4/T + 4/T+7 = 1
T(T+7)(4/T + 4/T+7) = T(T+7)1
(T+7)4+4T = T(T+7)
4T +28 +4T = T^2 +T7
8T+28=T^2+T7
Am I doing this right? I keep coming up with the wrong answer, I think.
Click here to see answer by scott8148(2483) |
Question 149620: It takes 4 minutes for the faucet to fill a sink. It takes 3 minutes for the drain to empty the sink. The sink is full, if the drain is open and the faucet turned on at the same time, how long does it take to empty the sink?: It takes 4 minutes for the faucet to fill a sink. It takes 3 minutes for the drain to empty the sink. The sink is full, if the drain is open and the faucet turned on at the same time, how long does it take to empty the sink?
Click here to see answer by ptaylor(1184) |
Question 149524: urgent..
working together, alice and betty can do a certain job in 4 1/3 days. but alice felt ill after 2 days of working and betty finished the job continuing to work alone in 6 3/4 more days. how long would it take each to do the job if each of them worked alone?
thnx for the help: urgent..
working together, alice and betty can do a certain job in 4 1/3 days. but alice felt ill after 2 days of working and betty finished the job continuing to work alone in 6 3/4 more days. how long would it take each to do the job if each of them worked alone?
thnx for the help
Click here to see answer by ptaylor(1184) |
Question 149525: Gian and Arwin can finish a project in 4 2/3 hours. Gian can do it alone in half as much as time arvin can do the job. how long will it take arwin to do the job alone.: Gian and Arwin can finish a project in 4 2/3 hours. Gian can do it alone in half as much as time arvin can do the job. how long will it take arwin to do the job alone.
Click here to see answer by ptaylor(1184) |
Question 149131: Janet can shovel snow from her driveway in 35 minutes. Bill can do the same job in 45 minutes. How long would it take Bill and Janet to shovel the driveway if they worked together?: Janet can shovel snow from her driveway in 35 minutes. Bill can do the same job in 45 minutes. How long would it take Bill and Janet to shovel the driveway if they worked together?
Click here to see answer by ptaylor(1184) |
Question 149131: Janet can shovel snow from her driveway in 35 minutes. Bill can do the same job in 45 minutes. How long would it take Bill and Janet to shovel the driveway if they worked together?: Janet can shovel snow from her driveway in 35 minutes. Bill can do the same job in 45 minutes. How long would it take Bill and Janet to shovel the driveway if they worked together?
Click here to see answer by stanbon(18015) |
Question 148609: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
^
I posted this before, and my teacher said the answer was wrong. I used ptaylor's solution and method rather than Stan H's solution. seeing as we're looking for hours. anyway, I inverted 24/13 to 13/24 which is approx half an hour vs almost two hours. I'm sure that's the right solution since my teacher said 1 hr and 51 mins is too long.
Any comments?: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
^
I posted this before, and my teacher said the answer was wrong. I used ptaylor's solution and method rather than Stan H's solution. seeing as we're looking for hours. anyway, I inverted 24/13 to 13/24 which is approx half an hour vs almost two hours. I'm sure that's the right solution since my teacher said 1 hr and 51 mins is too long.
Any comments?
Click here to see answer by scott8148(2483) |
Question 148509: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
Click here to see answer by stanbon(18015) |
Question 148508: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
: Suppose it takes Tom and Dick 2 hours to do a certain job, it takes Tom and Harry 3 hours to do the same job. It takes Dick and Harry 4 hours to do this same job.
How long will it take Tom, Dick, and Harry to do the same job together?
So, just for organizing:
T + D = 2hrs
T + H = 3hrs
D + H = 4hrs
T+D+H = ? hrs
Therefore: (I think, but I'm sure it's most probably right)
1/T + 1/D =1/2
1/T + 1/H =1/3
1/D + 1/H =1/4
1/T + 1/D + 1/H =1/x
So far, I got to T=12/5 and D=12
using reciprocals and the first equation, the sum is 6/12 or 1/2; so far so good.
But I've tried using it to solve for the H one.. and it doesn't quite work.. so when I get to the last equation I still have two variables, H and X.
Click here to see answer by ptaylor(1184) |
Question 148363: An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each person working alone to do the job?: An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each person working alone to do the job?
Click here to see answer by ptaylor(1184) |
Question 147917: Sally paints a house in 4 hours, jill paints the same house in 6 hours, how long does it take them to paint the house together?: Sally paints a house in 4 hours, jill paints the same house in 6 hours, how long does it take them to paint the house together?
Click here to see answer by ptaylor(1184) |
Question 147660: first let me thank you all for your help. my problem is A,B and C can finish a job in 6 days if B and C work together the job will take 9 days if A and C work together the job will take 8 days in how many days can each man working alone do the job? again thank very much for your help: first let me thank you all for your help. my problem is A,B and C can finish a job in 6 days if B and C work together the job will take 9 days if A and C work together the job will take 8 days in how many days can each man working alone do the job? again thank very much for your help
Click here to see answer by stanbon(18015) |
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